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Finding the Fourth Proportional to 496.63, 685.72 and 349.46

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Solution

The fourth proportional to 496.63, 685.72 and 349.46 is: 482.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.63 : 685.72 = 349.46 : x
  2. Step 2: Convert to fraction form
    496.63/685.72 = 349.46/x
  3. Step 3: Cross multiply
    496.63x = 685.72 × 349.46
  4. Step 4: Simplify right side
    496.63x = 239,633.18
  5. Step 5: Solve for x
    x = 239,633.18/496.63
  6. Step 6: Final answer
    x = 482.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.